:-) I can help you with that.
Forget about the 2 moves. Infantry, artillery, mech, tanks, they all can load onto a transport that is in a sea zone adjacent to the territory the land unit started in, and be transported, and then unload onto a land territory as amphibious assault all in the same turn.
In other words, the movement points (1 or 2) is purely for movement across land. It’s not a movement point to get on a transport and another movement point to get off.
Note that even though mech and tanks have 2 movement, they can’t move one territory, and then jump on a transport.